| Base | Representation |
|---|---|
| bin | 100110100010001011101010… |
| … | …1011001111101001001100000 |
| 3 | 1122110010020221102222111000000 |
| 4 | 1031010113111121331021200 |
| 5 | 323411322101144341004 |
| 6 | 3200515131325300000 |
| 7 | 131252202641635650 |
| oct | 11504272531751140 |
| 9 | 1573106842874000 |
| 10 | 338949514449504 |
| 11 | 98aaa755569352 |
| 12 | 3202282a704600 |
| 13 | 11718a5719ab3a |
| 14 | 5d9b35b8a4360 |
| 15 | 292bcc4a0cc39 |
| hex | 13445d567d260 |
338949514449504 has 672 divisors, whose sum is σ = 1205447725278720. Its totient is φ = 91677096124416.
The previous prime is 338949514449391. The next prime is 338949514449587. The reversal of 338949514449504 is 405944415949833.
338949514449504 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 4 + 95 + 1 + 44 + 495 + 0 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-3 number, since 3×3389495144495043 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 363848187 + ... + 364778565.
It is an arithmetic number, because the mean of its divisors is an integer number (1793821019760).
Almost surely, 2338949514449504 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 338949514449504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602723862639360).
338949514449504 is an abundant number, since it is smaller than the sum of its proper divisors (866498210829216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338949514449504 is an equidigital number, since it uses as much as digits as its factorization.
338949514449504 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 930534 (or 930511 counting only the distinct ones).
The product of its (nonzero) digits is 1343692800, while the sum is 72.
The spelling of 338949514449504 in words is "three hundred thirty-eight trillion, nine hundred forty-nine billion, five hundred fourteen million, four hundred forty-nine thousand, five hundred four".
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